Question

I need help with this

Answer 1

2 +1.75i

Explanation:

You want to write the value of (7 -8i)/(-4i) in the form a+bi.

Complex numbers

An expression with a complex number in the denominator can be put in (a+bi) form by multiplying numerator and denominator by the conjugate of the denominator. Here, we can simply multiply both by i.

`(7-8i)/(-4i)=(i(7 -8i))/(-4i^2)=(8+7i)/(4)=\boxed{2+1.75i}`

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Additional comment

A suitable calculator can simplify such expressions for you.

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